What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 342 cm2?
To find the missing length of the rectangular prism, we need to first calculate the surface area of the rectangular prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
Height (h) = 9 cm
Width (w) = 9 cm
Surface Area = 342 cm^2
Plugging in the values, we get:
342 = 2(9)(9) + 2(9)(9) + 2(9)(l)
342 = 162 + 162 + 18l
342 = 324 + 18l
18l = 18
l = 1 cm
Therefore, the missing length of the rectangular prism is 1 cm.